Reachability problem

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August undefined, 2024

WebAbstract An algorithm is presented for the general Petri net reachability problem. It is based on a generalization of the basic reachability tree construction which is made symmetric with respect to the initial and final marking. WebOct 1, 2024 · We consider the problem of reachability on One-Counter Systems (OCSs) and Pushdown Systems (PDSs). The problem has a well-known O (n 3) bound on both models, …

Solved b) Prove that the Halting Problem is undecidable by - Chegg

WebReachability Problems for Markov Chains S. Akshaya, Timos Antonopoulos b, Jo el Ouaknine , James Worrellb aDepartment of Computer Science and Engineering, Indian Institute of Technology Bombay, India bDepartment of Computer Science, University of Oxford, UK Abstract We consider the following decision problem: given a nite Markov … WebIn general, the all-pairs CFL-reachability problem can be solved in time O(jT [ Nj 3n ) for a graph with n nodes. Figure 2 shows an example of a Dyck-CFL reachability problem. The dashed lines show the edges added by the computation of closure(G). The edges show that there are S-paths between nodes x1 and z1, and x2 and z2. Self-loop chronic cure hiccups

The reachability problem for Petri nets is not elementary

WebAug 15, 2010 · The reachability problem for branching vector addition systems requires doubly-exponential space Authors: Ranko Lazić Abstract Branching vector addition systems are an extension of vector... WebJun 18, 2007 · In complexity theory reachability for finite graphs has been important in the investigation of subclasses of P (e.g. see [4] and its reference list). The problem plays a valuable role in model ... WebMay 6, 2024 · Reachability Analysis of Deep Neural Networks with Provable Guarantees. Verifying correctness of deep neural networks (DNNs) is challenging. We study a generic reachability problem for feed-forward DNNs which, for a given set of inputs to the network and a Lipschitz-continuous function over its outputs, computes the lower and upper … chronic cyanosis

The reachability problem for vector addition systems with a …

Directed graph reachability - Computer Science Stack …

WebOct 2, 2024 · 1. Just pick you favourite traversal algorithm (BFS, DFS...) from s. Tarjan's algorithm is for finding the strongly connected components of the graph. If you are … WebJun 18, 2007 · In complexity theory reachability for finite graphs has been important in the investigation of subclasses of P (e.g. see [4] and its reference list). The problem plays a … chronic cystic mastitisWebFirstly, it shows that the reachability problem is much harder than the coverability (i.e., state reachability) problem, which is also ubiquitous but has been known to be complete for exponential space since the late 1970s. chronic cystic fibrosis

"WebExpert Answer Given a directed graph G = (V, E), and two vertices s, t ∈ V, the reachability problem is to determine whether there exists a path from s to t in G.We … View the full answer Transcribed image text: b) Prove that the Halting Problem is undecidable by reducing the Reachability Problem to the Halting Problem. " - Reachability problem

Reachability problem

Separability of Reachability Sets of Vector Addition Systems

WebReachability is a fundamental problem that appears in several different contexts: finite- and infinite-state concurrent systems, computational models like cellular automata and Petri … WebJan 3, 2014 · Reachability from a program variable v to a program variable w states that from v, it is possible to follow a path of memory locations that leads to the object bound to w.We present a new abstract domain for the static analysis of possible reachability between program variables or, equivalently, definite unreachability between them.

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Webcontrol problem. Both methods solve the problem accurately, but are computationally intensive and do no appear amenable to real-time implementation for all but the simplest cases. In this work, we leverage machine learning techniques to devise query-based algorithms for the approximate, yet real-time solution of the reachability problem. Webputational complexity of the reachability problem for VAS remains one of the most well-known open questions in theoretical computer science. While decidability was still unknown, Lipton made initial progress on the problem by showing it ExpSpace-hard [12], which is still the highest known lower bound. A few years later, Mayr showed the prob-

WebSep 3, 2024 · Reachability from an Arbitrary Initial State; Controllability versus Reachability; In previous lectures we have examined solutions of state-space models, the stability of … In graph theory, reachability refers to the ability to get from one vertex to another within a graph. A vertex can reach a vertex (and is reachable from ) if there exists a sequence of adjacent vertices (i.e. a walk) which starts with and ends with . In an undirected graph, reachability between all pairs of vertices can be determined by identifying the connected components of the graph. Any pair of vertices in such a graph can reach each other if …

WebDec 4, 2009 · We consider the problem of reachability and characterise a public (that is, restriction-free) fragment for which it is decidable. This fragment is obtained by removing the open capability and restricting the application of the replication operator to guarded processes only. This decidability result may appear surprising in combination with the ... WebAug 30, 2024 · In such a graph, temporal reachability of one node from another is naturally captured by the existence of a temporal path where edges appear in chronological order. Inspired by the optimization of bus/metro/tramway schedules in a public transport network, we consider the problem of turning a collection of walks (called trips) in a directed ...

Webmore general problem: CFL-reachability. A CFL-reachability problem is not an ordinary reachability problem (e.g., transitive closure), but one in which a path is considered to connect two nodes only if the concatenation of the labels on the edges of the path is a word in a particular context-freelanguage: Deﬁnition2.1.

Webputational complexity of the reachability problem for VAS remains one of the most well-known open questions in theoretical computer science. While decidability was still … chronic cystsWebLecture: Reachability Analysis Reachability Analysis Minimum-energy control The problem is equivalent to ﬁnding the solution U of the system of equations X =RkU with minimum … chronic dacryoadenitisWebJan 14, 2024 · Abstract We consider the problem of safety verification, formalized as control-state reachability, for concurrent programs running on the Power architecture. Our main result shows that safety verification under Power is undecidable for programs with just two threads. Download conference paper PDF 1 Introduction chronic cystitis dietWebproblems of BCNs with state-ﬂipped control have been carried out [3]–[5]. However, [2]–[5] only consider one-time ﬂipping, ... is worth noting that our approach is valid for the reachability problem of all deterministic systems with ﬁnite states. REFERENCES [1]S. A. Kau man, “Metabolic stability and epigenesis in randomly con- ... chronic cystitis due to monilia infection chronic dacryocystitis eyewikiWebMany problems in static program analysis can be modeled as the context-free language (CFL) reachability problem on directed labeled graphs. The CFL reachability problem can be generally solved in time ( 3), where is the number of vertices in the graph, with some specific cases that can be solved faster. In this chronic daily headache bashWebMay 20, 2024 · Reachability analysis can also be used as a primitive step for reasoning about more complex liveness properties. Therefore, the question of decidability of … chronic dacryocystitis